The water level of a river is below normal levels. Its water level is at a 1 1/2
Meters below sea level during the summer. The river drops in another 2 1/3 m below sea level what is the water level at the end of summer?
To find the water level at the end of summer, we need to add the two given depths of the river:
1 1/2 + 2 1/3
To add these fractions, we need to find a common denominator. In this case, the common denominator is 6.
1 1/2 = 3/2 (since 1/2 is equivalent to 3/6)
2 1/3 = 7/3 (since 1/3 is equivalent to 2/6)
Now we can add the fractions:
3/2 + 7/3
To add these fractions, we need to find a common denominator again. The least common denominator between 2 and 3 is 6.
To convert 3/2 into a fraction with a denominator of 6, we multiply the numerator and denominator by 3: (3/2) * (3/3) = 9/6
To convert 7/3 into a fraction with a denominator of 6, we multiply the numerator and denominator by 2: (7/3) * (2/2) = 14/6
Now we can add the fractions:
9/6 + 14/6 = 23/6
Thus, the water level at the end of summer is 23/6 meters below sea level.
To find the water level at the end of summer, we need to add the initial drop of 1 1/2 meters below sea level to the additional drop of 2 1/3 meters below sea level.
Step 1: Add the fractional parts of the drops:
1/2 + 1/3 = (3/6) + (2/6) = 5/6
Step 2: Add the whole numbers:
1 + 2 = 3
Step 3: Add the whole numbers and the fractional parts together:
3 + 5/6 = (3*6 + 5)/6 = 18/6 + 5/6 = 23/6
So, the water level at the end of summer is 23/6 meters below sea level.
To determine the water level at the end of summer, we will add the two measurements of the drop in the river's water level.
First, let's convert the mixed numbers to improper fractions for easier calculation:
1 1/2 = (2 * 1 + 1) / 2 = 3/2
2 1/3 = (3 * 2 + 1) / 3 = 7/3
Now, let's add the fractions:
3/2 + 7/3
To add fractions, we need to find a common denominator:
The least common multiple (LCM) of 2 and 3 is 6.
Now, we'll rewrite the fractions with the common denominator of 6:
3/2 = (3/2) * (3/3) = 9/6
7/3 = (7/3) * (2/2) = 14/6
Adding the fractions:
9/6 + 14/6 = 23/6
The water level at the end of summer is 23/6 meters below sea level.
However, let's convert this fraction back to a mixed number:
23 / 6 = 3 5/6
Therefore, the water level at the end of summer is 3 5/6 meters below sea level.